.5(x+2)-.2(x-8)=0

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Solution for .5(x+2)-.2(x-8)=0 equation:


Simplifying
0.5(x + 2) + -0.2(x + -8) = 0

Reorder the terms:
0.5(2 + x) + -0.2(x + -8) = 0
(2 * 0.5 + x * 0.5) + -0.2(x + -8) = 0
(1 + 0.5x) + -0.2(x + -8) = 0

Reorder the terms:
1 + 0.5x + -0.2(-8 + x) = 0
1 + 0.5x + (-8 * -0.2 + x * -0.2) = 0
1 + 0.5x + (1.6 + -0.2x) = 0

Reorder the terms:
1 + 1.6 + 0.5x + -0.2x = 0

Combine like terms: 1 + 1.6 = 2.6
2.6 + 0.5x + -0.2x = 0

Combine like terms: 0.5x + -0.2x = 0.3x
2.6 + 0.3x = 0

Solving
2.6 + 0.3x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2.6' to each side of the equation.
2.6 + -2.6 + 0.3x = 0 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + 0.3x = 0 + -2.6
0.3x = 0 + -2.6

Combine like terms: 0 + -2.6 = -2.6
0.3x = -2.6

Divide each side by '0.3'.
x = -8.666666667

Simplifying
x = -8.666666667

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